This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness. The book is intended to provide a
The book stresses the interplay between several areas of pure and applied mathematics, emphasizing the central role of monomial algebras. It unifies the classical results of commutative algebra with c
The Navier-Stokes equations: fascinating, fundamentally important, and challenging,. Although many questions remain open, progress has been made in recent years. The regularity criterion of Caffarelli
Written for mathematicians working in nonlinear analysis, calculus of variations, Hamiltonian systems, and symplectic geometry, this study explores existence and multiplicity questions for periodic so
This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. Th
Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable rese
Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is parti
Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical
The traditional logical language of model theory is first-order logic. This language was proposed in the late 19th by G. Frege, and throughout the 20th century, it remained at the center of the develo
This book offers an introduction to quantum mechanics for professionals, students, and others in the field of mathematics who have a minimal background in physics with an understanding of linear algeb
One of the most important areas of study in mathematics, physics and engineering involves scattering and the propagation of scalar and vector waves. This topic is very mathematical, which often obscur
This book is about iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems).
This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The backgrou
The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equ
This mongraph is on the topic of type-2 fuzzy sets from a mathematical as opposed to an engineering perspective. It will be of interest to mathematicians who work in fields related to fuzzy
This book provides an introduction to submanifold geometry with a special emphasis on new techniques based on the holonomy of the normal connection. This second edition includes five new chapters on t
Accessible to non-specialists, this book provides a self-contained, complete introduction to the modern theory of stochastic differential equations in infinite-dimensional spaces. It describes various
Reconstructive integral geometry has gained new interest due to the number of new problems arising through X-Ray, MRI, gamma and positron radiography, ultrasound, and other new imaging fields. Even th
This book covers the historical development of conformal inequalities and the universal interest in the Bieberback conjecture and its impact on creative thinking in mathematics over the last century.
Brugnano and Iavernaro deal with the numerical solution of differential problems within the framework of geometric integration, a branch of numerical analysis that aims to devise numerical methods abl
In this book the new topic of lineability and spaceability is explored following closely the generalized trend in mathematics to search for large algebraic structures composed of mathematical objects
Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinea
Focusing on Cremona groups and their icosahedral subgroups, this book provides an ideal introduction to birational geometry for researchers and graduate students. The first results of the Cremona grou
A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infi
A Dictionary of Inequalities ends the dilemma of where to turn to find a result, a related inequality, or the references to the information you need. It provides a concise, alphabetical listing of eac
This is one of the first books to apply fuzzy logic to social choice theory. The book first discusses the rationalization of choice functions and the factorization of fuzzy preference relations. It th
Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied envir
"This provides a compilation of papers published in Revista Scientia, a journal published by the Department of Mathematics from the University of Tecnica Frederico Santa Maria in Chilie. It details in
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalit
Designed for mathematicians, scientists, and engineers in signal processing, this reference explains that sinusoids represent periodic functions of the sine or cosine. The beginning of the book explor
This book addresses a number of questions in real analysis and classical measure theory that are of a set-theoretic flavor. Accessible to graduate students, the beginning of the book presents introduc
Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—including the authors’ own substantial projects—on uncertainty propagation and quantification. It covers two sourc
"This book covers iterative optimization methods that stems from inverse problems and related issues. The author presents the theoretical side of inverse methods and as a result ignores discrete probl
It has become a well-known fact that most graph polynomials are related to the Tutte Polynomial in some way. In fact, that area of graph polynomials has grown to such an extent that it now has its own
Develops from scratch a number of original concepts in algebraic topology, by constructing a new family of finite complexes that can be seen as an extension of the odd-dimensional Moore space. Among t
Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ord
This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings. Elimination theory is a classical topic in commutative al
